Exact breathing soliton solutions in combined time-dependent harmonic-lattice potential

doi:10.1088/1674-1056/23/3/030501

Abstract We investigate the explicit novel localized nonlinear matter waves of the cubic-quintic nonlinear Schrödinger equation with spatiotemporal modulation of the nonlinearities and the harmonic-lattice potential using a modified similarity transformation. We also find that when the modulus of the Jacobian elliptic function in the limit closes to 1, the shapes of the breathing solitons may exhibit some interesting features, i.e., one breathing soliton dividing into two in the ground state. The stability of the exact solutions is investigated numerically such that some stable breathing soliton solutions are found.

Keywords: breathing soliton cubic-quintic nonlinearity harmonic-lattice potential

Received: 01 July 2013
Revised: 10 September 2013
Accepted manuscript online:

PACS:	05.45.Yv	(Solitons)
	03.75.Lm	(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
	42.65.Tg	(Optical solitons; nonlinear guided waves)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11175158 and 11374266) and the Natural Science Foundation of Zhejiang Province, China (Grant No. LY12A04001).

Corresponding Authors: Li Hua-Mei
E-mail: lihuamei@zjnu.cn

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You Lu-Yun (佑六云), Li Hua-Mei (李画眉), He Jun-Rong (何俊荣) Exact breathing soliton solutions in combined time-dependent harmonic-lattice potential 2014 Chin. Phys. B 23 030501

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Exact breathing soliton solutions in combined time-dependent harmonic-lattice potential

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